论文标题
在恒定磁场中，带电标量粒子传播器的坐标空间表示，该磁场是在Landau水平上扩展的总和
Coordinate-space representation of a charged scalar particle propagator in a constant magnetic field expanded as a sum over the Landau levels
论文作者
论文摘要
在恒定磁场中，获得了带电标量颗粒传播器的坐标空间表示，以在Landau级别上的一系列获得。使用最近开发的修改后的Fock-Schwinger方法，构建和对称中间表达式，从而使串联项分为两个因素。第一个是贝塞尔函数的总和，取决于时间和$ z $ - 坐标，其中选择了$ z $轴作为磁场的方向，并且具有类似于自由场传播器的结构。第二个是laguerre多项式和抑制指数的产物，取决于$ x，y $ - 坐标，该平面形成垂直于磁场方向的平面，并确保$ x，y $ - $ - $ - 平面的局部传播。
A coordinate-space representation for a charged scalar particle propagator in a constant magnetic field was obtained as a series over the Landau levels. Using the recently developed modified Fock-Schwinger method, an intermediate expression was constructed and symmetrized, thus, allowing for factorization of the series terms into two factors. The first one, a sum of Bessel functions, depends on time and $z$-coordinate, where the $z$-axis is chosen to be a direction of the magnetic field, and has a structure similar to the propagator of a free field. The second one, a product of a Laguerre polynomial and a damping exponential, depends on $x,y$-coordinates, which form a plane perpendicular to the direction of the magnetic field, and ensures the localized propagation in the $x,y$-plane.
